2975650560 has 288 divisors, whose sum is σ = 10927224000. Its totient is φ = 765886464.

The previous prime is 2975650529. The next prime is 2975650609. The reversal of 2975650560 is 650565792.

2975650560 is a `hidden beast` number, since 2 + 97 + 56 + 505 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1000756 + ... + 1003724.

It is an arithmetic number, because the mean of its divisors is an integer number (37941750).

Almost surely, 2^2975650560 is an apocalyptic number.

2975650560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2975650560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5463612000).

2975650560 is an abundant number, since it is smaller than the sum of its proper divisors (7951573440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2975650560 is a wasteful number, since it uses less digits than its factorization.

2975650560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The square root of 2975650560 is about 54549.5239209290. The cubic root of 2975650560 is about 1438.3369690227.

The spelling of 2975650560 in words is "two billion, nine hundred seventy-five million, six hundred fifty thousand, five hundred sixty".